Chapters 3 and 4
1) Find
P when A = 200, r = 0.08, and t = 4.
Round your answer to the nearest hundredth. Use the formula A = P + Prt.
2) Dan
Sullivan recently purchased a new car.
What was the cost of the car before tax if the total cost including a 7%
tax was $19,260? Be sure to write an
equation to solve the problem.
3) Kelly
Scandalios wishes to place part of $12,000 into a savings account earning 8%
simple interest and part into a savings account earning
simple interest. How much should she invest in each if she
wishes to earn $900 in interest for the year? Be sure to write an equation to solve the problem.
4) Bruce
Kennan, a chemist, wishes to make 2 liters of an 8% acid solution by mixing a 10% acid solution and a 5% acid solution. How many liters of each should he use? Be sure to write an equation to solve the
problem.
5) Two
trains going in opposite directions leave from the same station on parallel
tracks. One train travels at 50 miles
per hour, and the other at 60 miles per hour.
How long will it take for the trains to be 440 miles apart? Be sure to write an equation to solve the
problem.
6) The
sum of the angles in a triangle is 180º.
One angle of a triangle measures 10º more than the smallest angle, and
the third angle measures 10º less than twice the smallest angle. Find the measures of all three angles. Be sure
to write an equation to solve the problem.
7) One number is 8 more than the other. Find the two numbers if their sum is 74.
Be sure to write an equation to solve
the problem.
8) The sum of two consecutive integers is
237. Find the two integers.
Be sure to write an equation
to solve the problem.
9) a) Solve the equation for y. ![]()
b) Find the value
of y
when ![]()
10) Graph
the following equation: ![]()
11) a) Write the equation of the line that
passes through
the points (1,-7) and (-2,-1).
b) Write
the equation of the line that has a Slope = 4 and
passes through the point ![]()
Write the
equation of each of the following lines.

12)

13)
14) Determine if the following relation is also
a function.

15) If
, find
.
16) A
real estate agent has a weekly income,
, that can be determined by the formula
.
a) Draw
a graph of her week income for average sales ranging
from $0 to $10,000.
b) Estimate her weekly income if her average
sales for the week are $4000.
17) Find the slope of the through the given
points.
and ![]()
18) Find the slope of the through the given
points.
and ![]()
19) Given the following equation: ![]()
a) Put
the equation in slope-intercept form.
b) Using
part a), find the slope.
c) Using
part a), find the y-intercept.
20) Given the following equation: ![]()
a) Put
the equation in slope-intercept form.
b) Using
part a), find the slope.
c) Using
part a), find the y-intercept.
21) Determine if the two following lines are
parallel. Explain why they are
(or are not) parallel.
![]()
22) Given the following relation: ![]()
a) Give
the domain.
b) Give
the range.
c) Determine
if the relation is a function. Explain
why it is
(or is not) a
function.
Math
120 Exam #2 Review - Chapters 3
and 4 Answer Key
1) ![]()

2) c = cost of the car before tax

3)
x =
amount invested at 8%
=amount invested at ![]()

$4000 invested at 8%
$8000 invested at ![]()
4) x = number of liters of 10% acid sol.
2 – x = number of liters of 5% acid sol.

Liters of 10%
solution
Liters of 5% solution
5) t = time
Use the formula d=rt.
![]()
![]()
hours
6) s = measure of the smallest angle
s
+ 10 = measure of the 2nd angle
2s
– 10 = measure of the 3rd angle
![]()
![]()
(small)
(2nd)
(3rd)
7) x = first number
x+8 = second number
x + (x+8) = 74
2x + 8 =
74
2x = 66
x = 33
x + 8 = 41
The
numbers are 33 and 41.
8) x =
first integer
x +
1 = second integer
x + (x+1) = 237
2x +
1 = 237
2x = 236
x = 118
x + 1 = 119
The consecutive
integers are 118 and 119.
9) a) ![]()
b) ![]()
10) ![]()
![]()
![]()
![]()

11) a) ![]()
![]()
![]()
![]()
b) ![]()
![]()
![]()
![]()
![]()
12) ![]()
![]()
13) ![]()
14) No, fails the Vertical Line Test.
15) ![]()
![]()
16) a)
b) ![]()
![]()
17) Find
the slope of the through the given points.
and
![]()
![]()
18) Find
the slope of the through the given points.
and
![]()
![]()
19) a) ![]()
![]()
![]()
b)
.
c) ![]()
20. a) ![]()
b) ![]()
c) ![]()
21. ![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
Since the slopes are not the same
the lines are
not parallel.
22) Given the following relation:
![]()
a) ![]()
b) ![]()
c) Yes,
the relation is a function because for each x value there corresponds one y value.